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A department manager distributed a number of pens, pencils, [#permalink]

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06 May 2006, 04:17

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A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member, receiving x pens, y pencils, and z pads. How many staff members were in the department?

1) The members of pens, pencils and pads that each staff member received were in the ratio 2:3:4, respectively.
2) The manager distributed a total of 18 pads, 27 pencils and 36 pads

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06 May 2006, 04:27

getzgetzu wrote:

A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member, receiving x pens, y pencils, and z pads. How many staff members were in the department?

1) The members of pens, pencils and pads that each staff member received were in the ratio 2:3:4, respectively.2) The manager distributed a total of 18 pads, 27 pencils and 36 pads

Ans....E
1) In sufficient alone
2) In sufficient alone
Taking together, it comes 9, that is 9 staff members. But the question never says it had distributed all the pens,....etc. Hence the staff members can be less and still fulfill the criteria.
Hence E

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06 May 2006, 04:36

getzgetzu wrote:
A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member, receiving x pens, y pencils, and z pads. How many staff members were in the department?

1) The members of pens, pencils and pads that each staff member received were in the ratio 2:3:4, respectively.
2) The manager distributed a total of 18 pads, 27 pencils and 36 pads

Can you explain further your findings and conclusion. Thanks
_________________

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06 May 2006, 20:09

krishnosarkar wrote:

getzgetzu wrote:

A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member, receiving x pens, y pencils, and z pads. How many staff members were in the department?

1) The members of pens, pencils and pads that each staff member received were in the ratio 2:3:4, respectively.2) The manager distributed a total of 18 pads, 27 pencils and 36 pads

Ans....E1) In sufficient alone2) In sufficient aloneTaking together, it comes 9, that is 9 staff members. But the question never says it had distributed all the pens,....etc. Hence the staff members can be less and still fulfill the criteria.Hence E